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WARRIOR [948]
3 years ago
10

Write the equation of the line that has a slope of -5 and goes through (1,-4)

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

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C)PLEASE MAN PEOPLE ARE USING ME FOR POINTS
UNO [17]

The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.

<u>Interquartile Range: </u>

Given the Data -> First Quartile = 2, Third Quartile = 5

Interquartile Range = 5 - 2 = 3

<u>Range:</u> 8 - 1 = 7

<u>Variance: </u>

We start by determining the mean,

\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57

n = number of numbers in the set

Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571

5.3

<u>Standard Deviation</u>

We take the square root of the variance,

\sqrt{5.28571} = 2.29906

2.3

If you are not familiar with variance and standard deviation, just leave it.

3 0
2 years ago
Read 2 more answers
A study studied the birth weights of 1,278 babies born in the united states. the mean weight was 3234 grams with a standard devi
babymother [125]
<span>1220 Subtracting the lower boundary of 1492 grams from the mean of 3234 gives you 1742 grams below the mean. Dividing 1742 by the standard deviation of 871 gives you 2 standard deviations below the curve. Now doing the same with the upper limit of 4976 grams also gives you 2 standard deviations above the mean (4976-3234)/871 = 2 So you now look for what percentage of the population lies within 2 standard deviations of the mean. Standard lookup tables will indicate that 95.4499736% of the population will be within 2Ď of the mean. So multiply 1278 by 0.954499736 giving 1219.851. Then round to the nearest whole number and you have an estimated 1220 babies that weigh between 1492 grams and 4976 grams.</span>
6 0
3 years ago
Read 2 more answers
There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls avai
shutvik [7]

Answer:

I've never done this before, but if it is balls per square foot, then i can figure it out. It is 2 balls per square foot

Step-by-step explanation:

If the gym is 100 ft by 60 ft, it will be 6,000 square ft. Since there are 12,000 balls, you divide it by 6,000 (12,000/6,000), which is 2, so it would be 2 balls per square foot

5 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
3 years ago
Read 2 more answers
The population of Weston is 4320. The town’s records show that 45 percent of the population are males, and 2 3 23 of these males
lbvjy [14]

Answer:

In Weston 1,296 males are married

Step-by-step explanation:

step 1

Find out the number of males

Multiply the total population by 45%

45\%=45/100=0.45

4,320(0.45)=1,944\ males

step 2

Find out the number of males that are married

Multiply the number of males by 2/3

\frac{2}{3}(1,944)=1,296\ males\ married

therefore

In Weston 1,296 males are married

7 0
3 years ago
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